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A metallic sphere of radius 21 cm is dro...

A metallic sphere of radius `21 cm` is dropped into a cylindrical vessel, which is partly, filled with water. The diameter of the vessel is `1.68 m.` If the sphere is completely submerged, find by how much the surface of water will rise.

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To solve the problem of how much the surface of water will rise when a metallic sphere is submerged in a cylindrical vessel, we can follow these steps: ### Step 1: Find the volume of the sphere The formula for the volume \( V \) of a sphere is given by: \[ V = \frac{4}{3} \pi r^3 \] ...
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RS AGGARWAL-VOLUME AND SURFACE AREA OF SOLIDS-Multiple Choice Questions (Mcq)
  1. A metallic sphere of radius 21 cm is dropped into a cylindrical vessel...

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  2. The length, breadth and height of a cuboid are 15 cm, 12 cm and 4.5 cm...

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  3. A cuboid is 12 cm long, 9 cm broad and 8 cm high. Its total surface ar...

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  4. The length, breadth and height of a cuboid are 15m, 6m and 5dm respect...

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  5. A beam 9 m long, 40 cm wide and 20 cm high is made up of iron which we...

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  6. The length of the longest rod that can be placed in a room of dimensio...

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  7. What is the maximum length of a pencil that can be placed in a rectang...

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  8. The number of planks of dimensions (4m xx 5 m xx 2m) that can be store...

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  9. How many planks of dimensions (5 m xx 25 cm xx 10 cm) can be stored in...

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  10. How many bricks will be required to construct a wall 8m long, 6m high ...

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  11. How many persons can be accommodated in a dining hall of dimensions (2...

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  12. A river 1.5 m deep and 30 m wide is flowing at the rate of 3km per hou...

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  13. The lateral surface area of a cube is 256 m^(2). The volume of the cub...

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  14. The total surface area of a cube is 96 m^(2). The volume of the cube i...

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  15. The volume of a cube is 512 cm^(3). Its total surface area is

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  16. The length of the longest rod that can fit in a cubical vessel of side...

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  17. If the length of diagonal of a cube is 8 sqrt3cm then its surface area...

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  18. If each edge of a cube is increased by 50%, the percentage increase in...

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  19. Three cubes of metal with edges 3cm, 4 cm and 5 cm respectively are me...

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  20. In a shower, 5 cm of rain falls. Find the volume of water that falls o...

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  21. Two cubes have their volume in the ratio 1 : 27. The ratio of their su...

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